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The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry

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dc.contributor.authorChou, Kai-Seng
dc.contributor.authorWang, Xu-Jia
dc.date.accessioned2015-12-08T22:08:22Z
dc.date.issued2006
dc.date.updated2015-12-08T07:16:56Z
dc.description.abstractThe Lp-Minkowski problem introduced by Lutwak is solved for p ≥ n + 1 in the smooth category. The relevant Monge-Ampère equation (0.1) is solved for all p > 1. The same equation for p < 1 is also studied and solved for p ∈ (- n - 1, 1). When p = - n
dc.identifier.issn0001-8708
dc.identifier.urihttp://hdl.handle.net/1885/28586
dc.publisherAcademic Press
dc.sourceAdvances in Mathematics
dc.subjectKeywords: Blaschke-Santalo inequality; Centroaffine Minkowski problem; Lp-Minkowski problem; Monge-Ampre equation
dc.titleThe Lp-Minkowski problem and the Minkowski problem in centroaffine geometry
dc.typeJournal article
local.bibliographicCitation.lastpage83
local.bibliographicCitation.startpage33
local.contributor.affiliationChou, Kai-Seng, Chinese University of Hong Kong
local.contributor.affiliationWang, Xu-Jia, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidWang, Xu-Jia, u9514427
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.ariespublicationu3488905xPUB59
local.identifier.citationvolume205
local.identifier.doi10.1016/j.aim.2005.07.004
local.identifier.scopusID2-s2.0-33746888293
local.type.statusPublished Version

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